Answer:
C: ![-7ab \sqrt[3]{3ab^{2} }](https://tex.z-dn.net/?f=-7ab%20%5Csqrt%5B3%5D%7B3ab%5E%7B2%7D%20%7D)
Step-by-step explanation:
Simplify or expand:
![2ab\sqrt[3]{192ab^{2} } - 5\sqrt[3]{81a^{4} b^{5} }](https://tex.z-dn.net/?f=2ab%5Csqrt%5B3%5D%7B192ab%5E%7B2%7D%20%7D%20-%205%5Csqrt%5B3%5D%7B81a%5E%7B4%7D%20b%5E%7B5%7D%20%7D)
Transform the expression:
- ![5\sqrt[3]{3^{3}*3a*ab^{3} b^{2} }](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B3%5E%7B3%7D%2A3a%2Aab%5E%7B3%7D%20b%5E%7B2%7D%20%20%7D)
Re-write
Multiply
Combine like terms.
9x + 18 /4 + -5x + 24 / 4
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area = ( top rule + bottom rule ) × height / 2
area = ( 2 + 3 ) × 4 / 2
area = 5 × 4 / 2
area = 20 / 2
area = 10